A person needs to rent a 12-foot moving truck for a day. He calls two rental companies to determine their fee structure. The first company charges $25 plus 30 per mile, and the second company charges $30 plus 20 per mile?
Set up a system of linear equations in two variables that models the problem. Then solve the system of linear equations to determine the number of miles for which the costs of renting the truck will be the same. What is the cost at this mileage? If he plans to drive the truck for 150 miles, which company should he use?
Set up a system of linear equations in two variables that models the problem. Then solve the system of linear equations to determine the number of miles for which the costs of renting the truck will be the same. What is the cost at this mileage? If he plans to drive the truck for 150 miles, which company should he use?
1 Answer
At
You should choose Company 2 for driving 150 miles.
Explanation:
Let
An equation for company 1 can be represented by:
Company 2:
Set the two equations equal to each other:
Combine like terms:
Plug in
Since Company 2’s cost is growing at a slower rate than Company 1 and
1:
2:
Therefore Company 2 is cheaper by